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Math1720 Section 003 (Quiz 6) Date: 11/22/2013 8:00 AM Due Class ID:__________

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Name__________________________ Email_______________________________________

You are required to write neatly and show all work on the test body (2 pages). No credits will be given for

answer only. Staple all your work together, No loose pages accepted.
1. Find the exact x for the following equations without calculator:

a) 0)2)(sec3(cot =+− xx over the interval [0°, 360°)

b) )2sin)(sin2cos1(cos xxxx −−− =0 over the interval [0, π2 )

(hint: 1cos22cos

2

−= xx , xxx cossin22sin = )

2. Solve x for the following equations without using calculator
a) )4cot(74 −−= xy

b) arcsecx + 3 arcsin
2

3−
=

3

π

3. Solve )
2

2

2
)(sin12)(tan15.3(csc −+−

x
xx =0 over the interval )2,0[ π and give all solutions in radians over

the interval ),( +∞−∞ .

4. Solve the following triangle ABC, (Find A, B, C, a, b, c, area), fill blanks for the requested answers,
(a)

A B C a b c Area Case

37.3° 27.2° 56.1 cm cm cm cm
2

AAS

(b)

A1/A2 B1/B2 C1/C2 a1/a2 b1/b2 c1/c2 Area Case

29.83° 15.63 cm 25.80 cm cm cm
2
SSA

29.83° 15.63 cm 25.80 cm cm cm
2
SSA

(c)

A B C a b c Area Case

21.6° cm 62.8 cm 48.8 cm cm
2
SAS

(d)

A B C a b c Area Case

5 cm 6 cm 4 cm cm
2
SSS

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